λ
Ratio Atlas
Atlas › Integer Profiles › Node 50,003,775
50,003,775
32 × 52 × 31 × 67 × 107
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 5^2 × 31 × 67 × 107
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 94,708,224
Proper Divisor Sum 44,704,449
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #50003773 ← → #50003843

Radix Representation

Decimal 50003775
Binary 10111110101111111100111111 (26 bits)
Octal 0o276577477
Hexadecimal 0x2FAFF3F

Divisor Catalog (60 of 72)

1 3 5 9 15 25 31 45 67 75 93 107 155 201 225 279 321 335 465 535 603 775 963 1,005 1,395 1,605 1,675 2,077 2,325 2,675 3,015 3,317 4,815 5,025 6,231 6,975 7,169 8,025 9,951 10,385 15,075 16,585 18,693 21,507 24,075 29,853 31,155 35,845 49,755 51,925 64,521 82,925 93,465 107,535 149,265 155,775 179,225 222,239 248,775 322,605

Collatz Trajectory (160 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

50,003,775 150,011,326 75,005,663 225,016,990 112,508,495 337,525,486 168,762,743 506,288,230 253,144,115 759,432,346 379,716,173 1,139,148,520 569,574,260 284,787,130 142,393,565 427,180,696 213,590,348 106,795,174 53,397,587 160,192,762 80,096,381 240,289,144 120,144,572 60,072,286 30,036,143 90,108,430 45,054,215 135,162,646 67,581,323 202,743,970 101,371,985 304,115,956 152,057,978 76,028,989 228,086,968 114,043,484 57,021,742 28,510,871 85,532,614 42,766,307 128,298,922 64,149,461 192,448,384 96,224,192 48,112,096 24,056,048 12,028,024 6,014,012 3,007,006 1,503,503 4,510,510 2,255,255 6,765,766 3,382,883 10,148,650 5,074,325 15,222,976 7,611,488 3,805,744 1,902,872

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
← Previous Integer #50,003,774 Browse Full Index Next Integer #50,003,776 →